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Mathematics > Classical Analysis and ODEs
Title: Classical multiple orthogonal polynomials for arbitrary number of weights and their explicit representation
(Submitted on 22 Apr 2024 (v1), last revised 23 Apr 2024 (this version, v2))
Abstract: This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi-Pi\~neiro, Laguerre of both first and second kinds, as well as multiple orthogonal Hermite polynomials. Novel explicit expressions for nearest-neighbor recurrence coefficients, as well as the step line case, are provided for all these polynomial families. Furthermore, new explicit expressions for type I multiple orthogonal polynomials are derived for Laguerre of the second kind and also for multiple Hermite polynomials.
Submission history
From: Manuel Mañas [view email][v1] Mon, 22 Apr 2024 08:01:35 GMT (27kb,D)
[v2] Tue, 23 Apr 2024 15:02:22 GMT (27kb,D)
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